Which table represents a function?

A function is a set of relation without repetitive domain. That means we cannot have the same value of x in a set.

Example

{(1,1),(1,2),(2,4),(3,9)}

This is not a function because the relation has same two x = 1 which does not make it a function.

{(1,1),(2,4),(3,9)}

This is a function because there are no same x-values or repetitive domain in a single set.

Back to the question, we can find which table represent a function by looking at the x-value table. If there are two same or more x-values, it is not a function.

The answer is the left bottom table as the other table have two same x-values.

The general form of the given equation is 2x+y-6 = 0.

Step-by-step explanation:

where,

From the given equation 2x+y=6, it can be determined that :

The co-efficient of x is 2. It is in the form AX = 2x. Thus, no change is needed.

The co-efficient of y is 2. It is in the form BY = 1y. Thus, no change is needed.

The constant term 6 should be replaced to the left side of the equation, since the right side of the equation must be 0 always.

While moving the constant term form one side of the equation to other side, the sign changes from +ve to -ve.

Therefore, the general form is given as 2x+y-6 = 0.